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Selected answers to text problems by class dayDay #1: none_________________Day #2:p. 53 # 53-64Exercise 53.Identify the type of data that would be used to describe a response (quantitative discrete, quantitative continuous, or qualitative), and give an example of the data.number of tickets sold to a concertSolutionquantitative discrete, 150Exercise 54.Identify the type of data that would be used to describe a response (quantitative discrete, quantitative continuous, or qualitative), and give an example of the data.percent of body fatSolutionquantitative continuous, 19.2%Exercise 55.Identify the type of data that would be used to describe a response (quantitative discrete, quantitative continuous, or qualitative), and give an example of the data.favorite baseball teamSolutionqualitative, Oakland A’sExercise 56.Identify the type of data that would be used to describe a response (quantitative discrete, quantitative continuous, or qualitative), and give an example of the data.time in line to buy groceriesSolutionquantitative continuous, 7.2 minutesExercise 57.Identify the type of data that would be used to describe a response (quantitative discrete, quantitative continuous, or qualitative), and give an example of the data.number of students enrolled at Evergreen Valley CollegeSolutionquantitative discrete, 11,234 studentsExercise 58.Identify the type of data that would be used to describe a response (quantitative discrete, quantitative continuous, or qualitative), and give an example of the data.most-watched television showSolutionqualitative, Dancing with the StarsExercise 59.Identify the type of data that would be used to describe a response (quantitative discrete, quantitative continuous, or qualitative), and give an example of the data.brand of toothpasteSolutionqualitative, CrestExercise 60.Identify the type of data that would be used to describe a response (quantitative discrete, quantitative continuous, or qualitative), and give an example of the data.distance to the closest movie theatreSolutionquantitative continuous, 8.32 milesExercise 61.Identify the type of data that would be used to describe a response (quantitative discrete, quantitative continuous, or qualitative), and give an example of the data.age of executives in Fortune 500 companiesSolutionquantitative continuous, 47.3 yearsExercise 62.Identify the type of data that would be used to describe a response (quantitative discrete, quantitative continuous, or qualitative), and give an example of the data.number of competing computer spreadsheet software packagesSolutionquantitative discrete, threeExercise 63.A study was done to determine the age, number of times per week, and the duration (amount of time) of resident use of a local park in San Jose. The first house in the neighborhood around the park was selected randomly and then every 8th house in the neighborhood around the park was interviewed.“Number of times per week” is what type of data?a. qualitativeb. quantitative discretec. quantitative continuousSolutionbExercise 64.A study was done to determine the age, number of times per week, and the duration (amount of time) of resident use of a local park in San Jose. The first house in the neighborhood around the park was selected randomly and then every 8th house in the neighborhood around the park was interviewed.“Duration (amount of time)” is what type of data?a. qualitativeb. quantitative discretec. quantitative continuousSolutionc_________________Day #3Exercise 71.The instructor takes her sample by gathering data on five randomly selected students from each Lake Tahoe Community College math class. The type of sampling she used isa. cluster samplingb. stratified samplingc. simple random samplingd. convenience samplingSolutionbExercise 72.A study was done to determine the age, number of times per week, and the duration (amount of time) of residents using a local park in San Jose. The first house in the neighborhood around the park was selected randomly and then every eighth house in the neighborhood around the park was interviewed. The sampling method was:a. simple randomb. systematicc. stratifiedd. clusterSolutionbExercise 73.Name the sampling method used in each of the following situations:a. A woman in the airport is handing out questionnaires to travelers asking them to evaluate the airport’s service. She does not ask travelers who are hurrying through the airport with their hands full of luggage, but instead asks all travelers who are sitting near gates and not taking naps while they wait. b. A teacher wants to know if her students are doing homework, so she randomly selects rows two and five and then calls on all students in row two and all students in row five to present the solutions to homework problems to the class. c. The marketing manager for an electronics chain store wants information about the ages of its customers. Over the next two weeks, at each store location, 100 randomly selected customers are given questionnaires to fill out asking for information about age, as well as about other variables of interest. d. The librarian at a public library wants to determine what proportion of the library users are children. The librarian has a tally sheet on which she marks whether books are checked out by an adult or a child. She records this data for every fourth patron who checks out books. e. A political party wants to know the reaction of voters to a debate between the candidates. The day after the debate, the party’s polling staff calls 1,200 randomly selected phone numbers. If a registered voter answers the phone or is available to come to the phone, that registered voter is asked whom he or she intends to vote for and whether the debate changed his or her opinion of the candidates. Solutiona. convenienceb. clusterc. stratifiedd. systematice. simple randomExercise 74. (not assigned)A “random survey” was conducted of 3,274 people of the “microprocessor generation” (people born since 1971, the year the microprocessor was invented). It was reported that 48% of those individuals surveyed stated that if they had $2,000 to spend, they would use it for computer equipment. Also, 66% of those surveyed considered themselves relatively savvy computer users.a. Do you consider the sample size large enough for a study of this type? Why or why not?b. Based on your “gut feeling,” do you believe the percents accurately reflect the U.S. population for those individuals born since 1971? If not, do you think the percents of the population are actually higher or lower than the sample statistics? Why?Additional information: The survey, reported by Intel Corporation, was filled out by individuals who visited the Los Angeles Convention Center to see the Smithsonian Institute's road show called “America’s Smithsonian.”c. With this additional information, do you feel that all demographic and ethnic groups were equally represented at the event? Why or why not?d. With the additional information, comment on how accurately you think the sample statistics reflect the population parameters.Solutiona. Yes, in polling, samples that are from 1,200 to 1,500 observations are considered large enough and good enough if the survey is random and is well done.b. We do not have enough information to decide if this is a random sample from the U.S. population.c. No, this is a convenience sample taken from individuals who visited an exhibition in the Angeles Convention Center. This sample is not representative of the U.S. population.d. It is possible that the two sample statistics, 48% and 66% are larger than the true parameters in the population at large. In any event, no conclusion about the population proportions can be inferred from this convenience sample.Exercise 75.The Gallup-Healthways Well-Being Index is a survey that follows trends of U.S. residents on a regular basis. There are six areas of health and wellness covered in the survey: Life Evaluation, Emotional Health, Physical Health, Healthy Behavior, Work Environment, and Basic Access. Identify the type of data obtained from each question used in this survey: qualitative, quantitative discrete, or quantitative continuous.a. Do you have any health problems that prevent you from doing any of the things people your age can normally do?b. During the past 30 days, for about how many days did poor health keep you from doing your usual activities?c. In the last seven days, on how many days did you exercise for 30 minutes or more?d. Do you have health insurance coverage?Solutiona. qualitativeb. quantitative discretec. quantitative discreted. qualitative_______________Days 4 - 7: None_______________Day 8: NoneExercise 1.The miles per gallon rating for 30 cars are shown below (lowest to highest).19, 19, 19, 20, 21, 21, 25, 25, 25, 26, 26, 28, 29, 31, 31, 32, 32, 33, 34, 35, 36, 37, 37, 38, 38, 38, 38, 41, 43, 43SolutionStemStem Leaf19 9 920 1 1 5 5 5 6 6 8 931 1 2 2 3 4 5 6 7 7 8 8 8 841 3 3Table 2.84Exercise 8.The students in Ms. Ramirez’s math class have birthdays in each of the four seasons. Table 2.40 shows the four seasons, the number of students who have birthdays in each season, and the percentage (%) of students in each group. Construct a bar graph showing the number of students.SeasonsNumber of studentsProportion of populationSpring824%Summer926%Autumn1132%Winter618%Table 2.40SolutionExercise 9.Using the data from Mrs. Ramirez’s math class supplied in Exercise 2.8, construct a bar graph showing the percentages.SolutionFigure 2.53Exercise 10.David County has six high schools. Each school sent students to participate in a county-wide science competition. Table 2.41 shows the percentage breakdown of competitors from each school, and the percentage of the entire student population of the county that goes to each school. Construct a bar graph that shows the population percentage of competitors from each school.High SchoolScience competition populationOverall student populationAlabaster28.9%8.6%Concordia7.6%23.2%Genoa12.1%15.0%Mocksville18.5%14.3%Tynneson24.2%10.1%West End8.7%28.8%Table 2.41SolutionExercise 12.Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell three cars; nineteen generally sell four cars; twelve generally sell five cars; nine generally sell six cars; eleven generally sell seven cars. Complete the table.SolutionData Value (# cars)FrequencyRelative FrequencyCumulative Relative Frequency3140.220.224190.290.515120.180.69690.140.837110.171.00Exercise 18.Construct a frequency polygon for the following:a.Pulse Rates for WomenFrequency60–691270–791480–891190–991100–1091110–1190120–1291Table 2.43NO DOT PLOT for #74 recorded here____________Day 9:None____________Day 10:Only selected answersText problem used on green 10: Build a freq. table of tree heights (problem #2, p. 125 data)Green 10: #10.5 Build a complete frequency table of 25 tree heights (ft.) that contains five classes with an upper boundary of one class at 36.5. (text data ,p. 125 #2)Tree heights: 25, 27, 33, 34, 34, 34, 35, 37, 37, 38, 39, 39, 39, 40, 41, 45, 46, 47, 49, 50, 50, 53, 53, 54, 54______________Day 11Exercise 43.The following data show the lengths of boats moored in a marina. The data are ordered from smallest to largest: 16; 17; 19; 20; 20; 21; 23; 24; 25; 25; 25; 26; 26; 27; 27; 27; 28; 29; 30; 32; 33; 33; 34; 35; 37; 39; 40Calculate the mean.SolutionMean: 16 + 17 + 19 + 20 + 20 + 21 + 23 + 24 + 25 + 25 + 25 + 26 + 26 + 27 + 27 + 27 + 28 + 29 + 30 + 32 + 33 + 33 + 34 + 35 + 37 + 39 + 40 = 738, Exercise 44.The following data show the lengths of boats moored in a marina. The data are ordered from smallest to largest: 16; 17; 19; 20; 20; 21; 23; 24; 25; 25; 25; 26; 26; 27; 27; 27; 28; 29; 30; 32; 33; 33; 34; 35; 37; 39; 40Identify the median.SolutionStarting at the smallest value, the median is the 14th term, which is 27.Exercise 45.The following data show the lengths of boats moored in a marina. The data are ordered from smallest to largest: 16; 17; 19; 20; 20; 21; 23; 24; 25; 25; 25; 26; 26; 27; 27; 27; 28; 29; 30; 32; 33; 33; 34; 35; 37; 39; 40Identify the mode.SolutionThe most frequent lengths are 25 and 27, which occur three times. Mode = 25, 27Exercise 52.State whether the data are symmetrical, skewed to the left, or skewed to the right.When the data are skewed left, what is the typical relationship between the mean and median?SolutionWhen the data are skewed left, the mean is smaller than the median.Exercise 53.State whether the data are symmetrical, skewed to the left, or skewed to the right.When the data are symmetrical, what is the typical relationship between the mean and median?SolutionWhen the data are symmetrical, the mean and median are close or the same.Exercise 54.State whether the data are symmetrical, skewed to the left, or skewed to the right.What word describes a distribution that has two modes?SolutionbimodalExercise 55.Describe the shape of this distribution.Figure 2.32SolutionThe distribution is skewed right because it looks pulled out to the right.Exercise 56.Describe the relationship between the mode and the median of this distribution.Figure 2.33SolutionThe mode is three and is less than the median, which is four.Exercise 57.Describe the relationship between the mean and the median of this distribution.Figure 2.34SolutionThe mean is 4.1 and is slightly greater than the median, which is four.Exercise 58.Describe the shape of this distribution.Figure 2.35SolutionThe distribution is symmetrical because it peaks at the center.______________Days 12 - 14: None______________Day 15: ................
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